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Ab Initio Phase Diagram of Chromium to 2.5 TPa

Journal Article · · Applied Sciences
DOI:https://doi.org/10.3390/app12157844· OSTI ID:1881817

Chromium possesses remarkable physical properties such as hardness and corrosion resistance. Chromium is also a very important geophysical material as it is assumed that lighter Cr isotopes were dissolved in the Earth’s molten core during the planet’s formation, which makes Cr one of the main constituents of the Earth’s core. Unfortunately, Cr has remained one of the least studied 3d transition metals. In a very recent combined experimental and theoretical study (Anzellini et al., Scientific Reports, 2022), the equation of state and melting curve of chromium were studied to 150 GPa, and it was determined that the ambient body-centered cubic (bcc) phase of crystalline Cr remains stable in the whole pressure range considered. However, the importance of the knowledge of the physical properties of Cr, specifically its phase diagram, necessitates further study of Cr to higher pressure. In this work, using a suite of ab initio quantum molecular dynamics (QMD) simulations based on the Z methodology which combines both direct Z method for the simulation of melting curves and inverse Z method for the calculation of solid–solid phase transition boundaries, we obtain the theoretical phase diagram of Cr to 2.5 TPa. We calculate the melting curves of the two solid phases that are present on its phase diagram, namely, the lower-pressure bcc and the higher-pressure hexagonal close-packed (hcp) ones, and obtain the equation for the bcc-hcp solid–solid phase transition boundary. We also obtain the thermal equations of state of both bcc-Cr and hcp-Cr, which are in excellent agreement with both experimental data and QMD simulations. We argue that 2180 K as the value of the ambient melting point of Cr which is offered by several public web resources (“Wikipedia,” “WebElements,” “It’s Elemental,” etc.) is most likely incorrect and should be replaced with 2135 K, found in most experimental studies as well as in the present theoretical work.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); Spanish Ministerio de Ciencia, Innovación y Universidades; Generalitat Valenciana
Grant/Contract Number:
89233218CNA000001
OSTI ID:
1881817
Report Number(s):
LA-UR-21-32204
Journal Information:
Applied Sciences, Journal Name: Applied Sciences Journal Issue: 15 Vol. 12; ISSN 2076-3417
Publisher:
MDPICopyright Statement
Country of Publication:
United States
Language:
English

References (35)

Electronic structures and properties of V, Nb and Ta metals journal March 2000
Thermal expansion of Cr, Mo and W at low temperatures journal May 1978
Preliminary reference Earth model journal June 1981
Relativistic effects on the structural and magnetic properties of iron journal July 1991
Thermal expansion of Chromium (Cr) to melting temperature journal December 1997
Recent progress in simulations of the paramagnetic state of magnetic materials journal April 2016
Melting of iron at the physical conditions of the Earth's core journal January 2004
Breakdown of the Bardeen–Cooper–Schrieffer ground state at a quantum phase transition journal May 2009
Characterization of the high-pressure and high-temperature phase diagram and equation of state of chromium journal April 2022
Experimental and theoretical confirmation of an orthorhombic phase transition in niobium at high pressure and temperature journal August 2020
The electronic structure of antiferromagnetic chromium journal January 1981
Effects of gradient corrections on electronic structure in metals journal September 1990
Z methodology for phase diagram studies: platinum and tantalum as examples journal May 2014
Melting curve and phase diagram of vanadium under high-pressure and high-temperature conditions journal September 2019
Local-density description of antiferromagnetic Cr journal December 1988
Ground-state properties of third-row elements with nonlocal density functionals journal July 1989
Ab initiomolecular dynamics for liquid metals journal January 1993
Theoretical predictions of structural phase transitions in Cr, Mo, and W journal April 1994
Projector augmented-wave method journal December 1994
Ultrasoft pseudopotentials applied to magnetic Fe, Co, and Ni: From atoms to solids journal December 1997
Electron-energy-loss spectra and the structural stability of nickel oxide: An LSDA+U study journal January 1998
Fully unconstrained noncollinear magnetism within the projector augmented-wave method journal November 2000
Calculated elastic constants and electronic and magnetic properties of bcc, fcc, and hcp Cr crystals and thin films journal August 2000
Systematics of transition-metal melting journal March 2001
Melting and critical superheating journal January 2006
Calculations of Hubbard U from first-principles journal September 2006
Ab initio melting curve of osmium journal November 2015
Lattice Anisotropy in Antiferromagnetic Chromium journal October 1969
Theory of Magnetic and Structural Ordering in Iron journal April 1985
Generalized Gradient Approximation Made Simple journal October 1996
Spin-density-wave antiferromagnetism in chromium journal January 1988
Terapascal static pressure generation with ultrahigh yield strength nanodiamond journal July 2016
Isotopic Evidence of Cr Partitioning into Earth’s Core journal March 2011
Ferromagnetism and Antiferromagnetism in 3 d Transition Metals journal February 1973
Topological Equivalence of the Phase Diagrams of Molybdenum and Tungsten journal January 2020

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